Grade 7 · Math · Unit 1 of 20
Big & Rational Numbers
Billions, roots and fractions
What your child practises
Writing big numbers with powers of ten, perfect squares and square roots, comparing positive and negative fractions and decimals, simplifying fractions and rounding.
Ontario Curriculum expectation: B1.1–B1.6 · numbers to one billion, perfect squares, rational numbers, simplifying fractions and rounding
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Tap the numbers from least to greatest.
- −0.5
- −0.1
- 3/5
- 1.5
Show answer
−0.5 → −0.1 → 3/5 → 1.5
Hint: Think about where each number sits on a number line.
Question 2
Which shows 700 290 000 in expanded form with powers of ten?
- 7 × 10⁷ + 2 × 10⁴ + 9 × 10³
- 7 × 10⁹ + 2 × 10⁶ + 9 × 10⁵
- 7 × 10⁸ + 2 × 10⁵ + 9 × 10⁴
Show answer
7 × 10⁸ + 2 × 10⁵ + 9 × 10⁴
Hint: Each digit is multiplied by 10 raised to its place value: 100 = 10², 1000 = 10³, and so on.
Question 3
Which number is the greatest?
- 896 008 257
- 51 719 344
- 377 553 948
Show answer
896 008 257
Hint: Compare the digits from the left. The number with more digits is greater.
Question 4
Write 9/15 in simplest form.
- 9/5
- 3/5
- 3/15
Show answer
3/5
Hint: Divide the top and bottom by the same number. The greatest common factor works best.
Question 5
Which number is a perfect square?
- 48
- 50
- 49
Show answer
49
Hint: A perfect square is a whole number times itself, like 7 × 7 = 49.
Question 6
Which shows 103 006 000 in expanded form with powers of ten?
- 1 × 10⁹ + 3 × 10⁷ + 6 × 10⁴
- 1 × 10⁷ + 3 × 10⁵ + 6 × 10²
- 1 × 10⁸ + 3 × 10⁶ + 6 × 10³
Show answer
1 × 10⁸ + 3 × 10⁶ + 6 × 10³
Hint: Each digit is multiplied by 10 raised to its place value: 100 = 10², 1000 = 10³, and so on.